Answer
a). $14.4N$ in +y-direction
b). $(1.1)x+(12.64)y$
Work Step by Step
a). The horizontal components of $F_{1}$ and $F_{2}$ balance each other, since they are in opposite direction and exactly equal.
So, net resultant force = $2\times 12.0N\times sin37^{\circ}=14.4N$ in positive y-direction.
b). Resultant force =$(12cos27^{\circ}-12cos37^{\circ})x+(12sin27^{\circ}+12sin37^{\circ})y$
=$(1.1)x+(12.64)y$
